SOLUTION: find all the roots of each equation. x^4+4x^3+6x^2+8x+8=0

Question 7044: find all the roots of each equation.
x^4+4x^3+6x^2+8x+8=0
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
you need to factorise this: . Seeing as how they have asked you, and you know next to nothing about solving polynomials, there has to be a "nice" solution for you. So, lets just re-order the polynomial slightly to:

Lets treat the first 3 terms as a quadratic and the last 2 terms we will just factorise normally: So

. Both of these terms have a common term, namely , so we can factorise again to give:

and the second bracket can be factorised to give

so either or x+2 = 0
so either or x = -2
so either or or x = -2
--> or or x = -2

jon.

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